Type II Exponentiated Half-Logistic-Gompertz Topp-Leone-G Family of Distributions with Applications

Abstract

The purpose of this paper is to introduce and study a new generated family
of distributions based on the type II transformation which is called the type
II exponentiated half-logistic-Gompertz-Topp-Leone-G (TIIEHL-Gom-TL-G)
family of distributions. We investigate its general mathematical properties,
including, hazard rate function, quantile function, moments, moment generating
function, Rényi entropy and order statistics. Parameter estimates of the
new family of distributions are obtained based on the maximum likelihood
estimation method and their performance is evaluated via a simulation study.
For illustration of the applicability of the new family of distributions, four real
data sets are analyzed.